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Finding the Third Proportional to 483,114 and 1,049,468

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Solution

The third proportional to 483,114 and 1,049,468 is: 2,279,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,114 : 1,049,468 = 1,049,468 : x
  2. Step 2: Convert to fraction form
    483,114/1,049,468 = 1,049,468/x
  3. Step 3: Cross multiply
    483,114x = 1,049,468 × 1,049,468
  4. Step 4: Simplify right side
    483,114x = 1,101,383,083,024
  5. Step 5: Solve for x
    x = 1,101,383,083,024/483,114
  6. Step 6: Final answer
    x = 2,279,758.16

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.